102200213013 has 8 divisors (see below), whose sum is σ = 136289237376. Its totient is φ = 68122332000.

The previous prime is 102200212993. The next prime is 102200213021. The reversal of 102200213013 is 310312002201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102200213013 - 2⁹ = 102200212501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102200212983 and 102200213001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200213023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2764413 + ... + 2801138.

It is an arithmetic number, because the mean of its divisors is an integer number (17036154672).

Almost surely, 2^102200213013 is an apocalyptic number.

It is an amenable number.

102200213013 is a deficient number, since it is larger than the sum of its proper divisors (34089024363).

102200213013 is an equidigital number, since it uses as much as digits as its factorization.

102200213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571675.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102200213013 its reverse (310312002201), we get a palindrome (412512215214).

The spelling of 102200213013 in words is "one hundred two billion, two hundred million, two hundred thirteen thousand, thirteen".